What is the Least Common Multiple of 27967 and 27987?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27967 and 27987 is 782712429.
LCM(27967,27987) = 782712429
Least Common Multiple of 27967 and 27987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27967 and 27987, than apply into the LCM equation.
GCF(27967,27987) = 1
LCM(27967,27987) = ( 27967 × 27987) / 1
LCM(27967,27987) = 782712429 / 1
LCM(27967,27987) = 782712429
Least Common Multiple (LCM) of 27967 and 27987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27967 and 27987. First we will calculate the prime factors of 27967 and 27987.
Prime Factorization of 27967
Prime factors of 27967 are 27967. Prime factorization of 27967 in exponential form is:
27967 = 279671
Prime Factorization of 27987
Prime factors of 27987 are 3, 19, 491. Prime factorization of 27987 in exponential form is:
27987 = 31 × 191 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 27967 and 27987.
LCM(27967,27987) = 279671 × 31 × 191 × 4911
LCM(27967,27987) = 782712429
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